Diffusion In Microstretch Thermoelasticity With Microtemperatures And Microconcentrations
Published 2019 ·
This chapter is dealing with the linear theory of microstretch thermoelasticity for materials whose particles have microelements that are equipped with microtemperatures and microconcentrations. The focus is on isotropic and homogeneous bodies, for which we derive the field equations and the constitutive equations. Then we introduce some dimensionless quantities and establish the continuous dependence of solutions upon initial data and body loads by means of the Gronwall inequality. This extension of mechanics of generalized continua that includes both thermal and diffusion effects aims at providing a rigorous mathematical model with various possible applications in materials science, engineering and even biology.